Dynamics Peculiarities of X-Ray Radiation of Astrophysical Objects: Classification of Statistical Memory Effects

We show that analyzing the total flux X-ray activity of microquasars registered by the ASM (All-Sky Monitor) survey camera of the RXTE (Rossi X-Ray Timing Explorer) orbital observatory makes it possible not only to study some accretion mechanisms in binary star systems but also to carry out their classification according to the strength of the statistical memory effects. To discover the properties of X-ray activity, we analyze the power spectra of memory functions derived from the memory function formalism, using data from Cygnus X-1 as an example. The results have allowed us to determine three classes of X-ray binary systems depending on the relationship between the relaxation time scales and the existence of statistical memory.